论文信息 - On the Structure of the Set of Zeros of Quaternionic Polynomials

On the Structure of the Set of Zeros of Quaternionic Polynomials

We prove that any quaternionic polynomial (with the coefficients on the same side) has two types of zeroes: the zeroes are either isolated or spherical ones, i.e., those ones which form a whole sphere. What is more, the total quantity of the isolated zeroes and of the double number of the spheres does not outnumber the degree of the polynomial.

M. Shapiro | M. Shapiro | A. Pogorui * | A. Pogorui *

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